178217005056 has 208 divisors, whose sum is σ = 483898593024. Its totient is φ = 58326188032.

The previous prime is 178217005039. The next prime is 178217005069. The reversal of 178217005056 is 650500712871.

It is a super-2 number, since 2×178217005056² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 178217004999 and 178217005017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200920645 + ... + 200921531.

Almost surely, 2^178217005056 is an apocalyptic number.

178217005056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 178217005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241949296512).

178217005056 is an abundant number, since it is smaller than the sum of its proper divisors (305681587968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

178217005056 is an equidigital number, since it uses as much as digits as its factorization.

178217005056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1172 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 42.

The spelling of 178217005056 in words is "one hundred seventy-eight billion, two hundred seventeen million, five thousand, fifty-six".